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    Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    In two triangles, the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4. Find the ratio of their bases.

    ক)
    13:9
    খ)
    16:9
    গ)
    15:9
    ঘ)
    14:9

    Explanation

    Let the bases of the two triangles be x and y and their heights be 3h and 4h respectively. Then, 12×x×3h12×y×4h=43⇒xy=43×43=169\frac{\frac12\times x\times3h}{\frac12\times y\times4h}=\frac43\Rightarrow\frac xy=\frac{\displaystyle4}{\displaystyle3}\times\frac{\displaystyle4}{\displaystyle3}=\frac{16}9 Required ratio = 16 : 9.

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